Title: "An introduction to Lie groups, Symmetric spaces, and Shimura
varieties based on examples".
Abstract: I will give an introductory course of 3-4 lectures on the topics
mentioned in the title to an audience without any prior knowledge of the
subject which is a meeting ground for Differential geometry, Algebraic
geometry, and Number theory.
Time:
4:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Department Colloquium.
Speaker: Lionel Levine, Cornell University.
Time: Wednesday, 06 February, 4pm.
Venue: Ramanujan Hall.
Title: Circles in the sand.
Abstract: I will describe the role played by an Apollonian circle packing
in the scaling limit of the abelian sandpile on the square grid Z^2. The
sandpile solves a certain integer optimization problem. Associated to each
circle in the packing is a locally optimal solution to that problem. Each
locally optimal solution can be described by an infinite periodic pattern
of sand, and the patterns associated to any four mutually tangent circles
obey an analogue of the Descartes Circle Theorem. Joint work with Wesley
Pegden and Charles Smart.
Time:
11:30am
Location:
Ramanujan Hall, Department of Mathematics
Description:
Probability Statistics seminar
Speaker: Fabrice Gamboa, Toulouse Institute of Mathematics
Time: Thursday 07 February, 11:30 am-- 12:30 am.
Venue: Ramanujan Hall.
Title: Sum rules and large deviations,
Abstract: In a famous paper published in Annals of Mathematics (2003),
Killip and Simon gave a SzegĂ¶ like theorem for the circular law (sum
rule). The proof of this sum rule relies on mathematical analysis. This
sum rule relates the Kullback-Leibler information with respect to the
semi-circular law to coefficients involved in the recursive construction
of the orthogonal polynomials. Using the theory of large deviations for
random matrices we recover easily this sum rules and provide a full
machinery to establish and prove new ones.
Time:
2:30pm-3:30pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
CACAAG seminar.
Speaker: Ramachandran Balasubramanian.
Time: 2:30-3:30 pm, Friday 08 February, 2018.
Venue: Ramanujan Hall.
Title: Zeta Functions Associated to Graphs.
Abstract: This series of talks will cover various notions of zeta
functions associated to graphs.